351966720 has 160 divisors (see below), whose sum is σ = 1286131968. Its totient is φ = 80437248.

The previous prime is 351966689. The next prime is 351966733. The reversal of 351966720 is 27669153.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50487 + ... + 57033.

Almost surely, 2^351966720 is an apocalyptic number.

351966720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643065984).

351966720 is an abundant number, since it is smaller than the sum of its proper divisors (934165248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351966720 is an equidigital number, since it uses as much as digits as its factorization.

351966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 351966720 is about 18760.7761033492. The cubic root of 351966720 is about 706.0474144714.

The spelling of 351966720 in words is "three hundred fifty-one million, nine hundred sixty-six thousand, seven hundred twenty".